%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP066^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:11 AM UTC 2026
% Result : Theorem 1.41s 0.51s
% Output : Refutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP066^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:48:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.39 % (557000)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.70/0.39 % (557009)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2290529935:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.70/0.39 % (557011)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.70/0.39 % (557011)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.70/0.39 % (557009)Instruction limit reached!
% 0.70/0.39 % (557009)------------------------------
% 0.70/0.39 % (557009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.39 % (557009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.39 % (557009)CaDiCaL version: 2.1.3
% 0.70/0.39 % (557009)Termination reason: Instruction limit
% 0.70/0.39 % (557009)Termination phase: shuffling
% 0.70/0.39 % (557009)Time elapsed: 0.006 s
% 0.70/0.39 % (557009)Peak memory usage: 10 MB
% 0.70/0.39 % (557009)Instructions burned: 27 (million)
% 0.70/0.39 % (557005)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1846018517:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.70/0.39 % (557006)lrs+10_16_si=on:nwc=1.5:random_seed=1057239113:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.70/0.39 % (557007)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=71125349:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.70/0.39 % (557008)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4194611399:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.70/0.39 % (557010)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3538492033:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.70/0.39 % (557011)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1037567545:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.70/0.39 % (557007)Instruction limit reached!
% 0.70/0.39 % (557007)------------------------------
% 0.70/0.39 % (557007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.39 % (557007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.39 % (557007)CaDiCaL version: 2.1.3
% 0.70/0.39 % (557007)Termination reason: Instruction limit
% 0.70/0.39 % (557007)Termination phase: shuffling
% 0.70/0.39 % (557007)Time elapsed: 0.002 s
% 0.70/0.39 % (557007)Peak memory usage: 10 MB
% 0.70/0.39 % (557007)Instructions burned: 3 (million)
% 0.70/0.39 % (557006)Instruction limit reached!
% 0.70/0.39 % (557006)------------------------------
% 0.70/0.39 % (557006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.39 % (557006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.39 % (557006)CaDiCaL version: 2.1.3
% 0.70/0.39 % (557006)Termination reason: Instruction limit
% 0.70/0.39 % (557006)Termination phase: shuffling
% 0.70/0.39 % (557006)Time elapsed: 0.010 s
% 0.70/0.39 % (557006)Peak memory usage: 10 MB
% 0.70/0.39 % (557016)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=62446452:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.39 % (557006)Instructions burned: 20 (million)
% 0.70/0.39 % (557016)Instruction limit reached!
% 0.70/0.39 % (557016)------------------------------
% 0.70/0.39 % (557016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.39 % (557016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.39 % (557016)CaDiCaL version: 2.1.3
% 0.70/0.39 % (557016)Termination reason: Instruction limit
% 0.70/0.39 % (557016)Termination phase: shuffling
% 0.70/0.39 % (557016)Time elapsed: 0.002 s
% 0.70/0.39 % (557016)Peak memory usage: 10 MB
% 0.70/0.39 % (557016)Instructions burned: 7 (million)
% 0.70/0.39 % (557020)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4159779577:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.70/0.39 % (557023)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4126739814:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.70/0.43 % (557020)Instruction limit reached!
% 0.70/0.43 % (557020)------------------------------
% 0.70/0.43 % (557020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (557020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (557020)CaDiCaL version: 2.1.3
% 0.70/0.43 % (557020)Termination reason: Instruction limit
% 0.70/0.43 % (557020)Termination phase: shuffling
% 0.70/0.43 % (557020)Time elapsed: 0.003 s
% 0.70/0.43 % (557020)Peak memory usage: 10 MB
% 0.70/0.43 % (557020)Instructions burned: 6 (million)
% 0.70/0.43 % (557023)Instruction limit reached!
% 0.70/0.43 % (557023)------------------------------
% 0.70/0.43 % (557023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (557023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (557023)CaDiCaL version: 2.1.3
% 0.70/0.43 % (557023)Termination reason: Instruction limit
% 0.70/0.43 % (557023)Termination phase: shuffling
% 0.70/0.43 % (557023)Time elapsed: 0.003 s
% 0.70/0.43 % (557023)Peak memory usage: 10 MB
% 0.70/0.43 % (557023)Instructions burned: 13 (million)
% 0.70/0.43 % (557022)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.43 % (557010)Instruction limit reached!
% 0.70/0.43 % (557010)------------------------------
% 0.70/0.43 % (557010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (557010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (557010)CaDiCaL version: 2.1.3
% 0.70/0.43 % (557010)Termination reason: Instruction limit
% 0.70/0.43 % (557010)Termination phase: Preprocessing 3
% 0.70/0.43 % (557010)Time elapsed: 0.035 s
% 0.70/0.43 % (557027)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1465426869:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.70/0.43 % (557010)Peak memory usage: 12 MB
% 0.70/0.43 % (557010)Instructions burned: 75 (million)
% 0.70/0.43 % (557022)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1954754061:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.70/0.43 % (557026)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.70/0.43 % (557026)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.43 % (557005)Instruction limit reached!
% 0.70/0.43 % (557005)------------------------------
% 0.70/0.43 % (557005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (557005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (557005)CaDiCaL version: 2.1.3
% 0.70/0.43 % (557005)Termination reason: Instruction limit
% 0.70/0.43 % (557005)Termination phase: Property scanning
% 0.70/0.43 % (557005)Time elapsed: 0.042 s
% 0.70/0.43 % (557005)Peak memory usage: 12 MB
% 0.70/0.43 % (557005)Instructions burned: 88 (million)
% 0.70/0.43 % (557026)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3890188840:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.70/0.43 % (557022)Instruction limit reached!
% 0.70/0.43 % (557022)------------------------------
% 0.70/0.43 % (557022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.43 % (557022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.43 % (557022)CaDiCaL version: 2.1.3
% 0.70/0.43 % (557022)Termination reason: Instruction limit
% 0.70/0.43 % (557022)Termination phase: shuffling
% 0.70/0.43 % (557022)Time elapsed: 0.007 s
% 0.70/0.43 % (557022)Peak memory usage: 10 MB
% 0.70/0.43 % (557022)Instructions burned: 8 (million)
% 0.70/0.43 % (557029)lrs+10_1_si=on:cs=on:random_seed=3924096903:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.70/0.43 % (557031)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.70/0.45 % (557026)Instruction limit reached!
% 0.70/0.45 % (557026)------------------------------
% 0.70/0.45 % (557026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557026)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557026)Termination reason: Instruction limit
% 0.70/0.45 % (557026)Termination phase: shuffling
% 0.70/0.45 % (557026)Time elapsed: 0.013 s
% 0.70/0.45 % (557026)Peak memory usage: 10 MB
% 0.70/0.45 % (557026)Instructions burned: 29 (million)
% 0.70/0.45 % (557029)Instruction limit reached!
% 0.70/0.45 % (557029)------------------------------
% 0.70/0.45 % (557029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557029)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557029)Termination reason: Instruction limit
% 0.70/0.45 % (557029)Termination phase: shuffling
% 0.70/0.45 % (557029)Time elapsed: 0.004 s
% 0.70/0.45 % (557029)Peak memory usage: 10 MB
% 0.70/0.45 % (557029)Instructions burned: 8 (million)
% 0.70/0.45 % (557031)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=760586648:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.45 % (557031)Instruction limit reached!
% 0.70/0.45 % (557031)------------------------------
% 0.70/0.45 % (557031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557031)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557031)Termination reason: Instruction limit
% 0.70/0.45 % (557031)Termination phase: shuffling
% 0.70/0.45 % (557031)Time elapsed: 0.002 s
% 0.70/0.45 % (557031)Peak memory usage: 10 MB
% 0.70/0.45 % (557031)Instructions burned: 3 (million)
% 0.70/0.45 % (557027)Instruction limit reached!
% 0.70/0.45 % (557027)------------------------------
% 0.70/0.45 % (557027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557027)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557027)Termination reason: Instruction limit
% 0.70/0.45 % (557027)Termination phase: Preprocessing 1
% 0.70/0.45 % (557027)Time elapsed: 0.027 s
% 0.70/0.45 % (557027)Peak memory usage: 11 MB
% 0.70/0.45 % (557027)Instructions burned: 88 (million)
% 0.70/0.45 % (557033)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3354868863:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.70/0.45 % (557011)Instruction limit reached!
% 0.70/0.45 % (557011)------------------------------
% 0.70/0.45 % (557011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557011)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557011)Termination reason: Instruction limit
% 0.70/0.45 % (557011)Termination phase: Saturation
% 0.70/0.45 % (557011)Time elapsed: 0.072 s
% 0.70/0.45 % (557011)Peak memory usage: 14 MB
% 0.70/0.45 % (557011)Instructions burned: 158 (million)
% 0.70/0.45 % (557035)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1348410454:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.70/0.45 % (557033)Instruction limit reached!
% 0.70/0.45 % (557033)------------------------------
% 0.70/0.45 % (557033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.45 % (557033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.45 % (557033)CaDiCaL version: 2.1.3
% 0.70/0.45 % (557033)Termination reason: Instruction limit
% 0.70/0.45 % (557033)Termination phase: Property scanning
% 0.70/0.45 % (557033)Time elapsed: 0.009 s
% 0.70/0.45 % (557033)Peak memory usage: 11 MB
% 0.70/0.45 % (557033)Instructions burned: 40 (million)
% 0.70/0.45 % (557037)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=892217086:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.70/0.45 % (557038)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2233056097:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.45 % (557039)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2308274105:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.41/0.51 % (557043)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1563888805:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.41/0.51 % (557038)Instruction limit reached!
% 1.41/0.51 % (557038)------------------------------
% 1.41/0.51 % (557038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557038)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557038)Termination reason: Instruction limit
% 1.41/0.51 % (557038)Termination phase: shuffling
% 1.41/0.51 % (557038)Time elapsed: 0.007 s
% 1.41/0.51 % (557038)Peak memory usage: 10 MB
% 1.41/0.51 % (557038)Instructions burned: 15 (million)
% 1.41/0.51 % (557043)Instruction limit reached!
% 1.41/0.51 % (557043)------------------------------
% 1.41/0.51 % (557043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557043)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557043)Termination reason: Instruction limit
% 1.41/0.51 % (557043)Termination phase: shuffling
% 1.41/0.51 % (557043)Time elapsed: 0.002 s
% 1.41/0.51 % (557043)Peak memory usage: 10 MB
% 1.41/0.51 % (557043)Instructions burned: 6 (million)
% 1.41/0.51 % (557041)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1343973700:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.51 % (557037)Instruction limit reached!
% 1.41/0.51 % (557037)------------------------------
% 1.41/0.51 % (557037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557037)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557037)Termination reason: Instruction limit
% 1.41/0.51 % (557037)Termination phase: shuffling
% 1.41/0.51 % (557037)Time elapsed: 0.012 s
% 1.41/0.51 % (557037)Peak memory usage: 10 MB
% 1.41/0.51 % (557037)Instructions burned: 27 (million)
% 1.41/0.51 % (557041)Instruction limit reached!
% 1.41/0.51 % (557041)------------------------------
% 1.41/0.51 % (557041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557041)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557041)Termination reason: Instruction limit
% 1.41/0.51 % (557041)Termination phase: shuffling
% 1.41/0.51 % (557041)Time elapsed: 0.007 s
% 1.41/0.51 % (557041)Peak memory usage: 10 MB
% 1.41/0.51 % (557041)Instructions burned: 16 (million)
% 1.41/0.51 % (557049)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=824367929:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.51 % (557049)Instruction limit reached!
% 1.41/0.51 % (557049)------------------------------
% 1.41/0.51 % (557049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557049)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557049)Termination reason: Instruction limit
% 1.41/0.51 % (557049)Termination phase: shuffling
% 1.41/0.51 % (557049)Time elapsed: 0.006 s
% 1.41/0.51 % (557049)Peak memory usage: 10 MB
% 1.41/0.51 % (557049)Instructions burned: 27 (million)
% 1.41/0.51 % (557048)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2148131511:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.41/0.51 % (557051)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2929168722:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.41/0.51 % (557053)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.41/0.51 % (557053)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.41/0.51 % (557055)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.41/0.51 % (557055)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=736748782:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.41/0.51 % (557053)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=155469540:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.51 % (557055)Instruction limit reached!
% 1.41/0.51 % (557055)------------------------------
% 1.41/0.51 % (557055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557055)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557055)Termination reason: Instruction limit
% 1.41/0.51 % (557055)Termination phase: shuffling
% 1.41/0.51 % (557055)Time elapsed: 0.003 s
% 1.41/0.51 % (557055)Peak memory usage: 10 MB
% 1.41/0.51 % (557055)Instructions burned: 10 (million)
% 1.41/0.51 % (557035)Refutation not found, incomplete strategy
% 1.41/0.51 % (557035)------------------------------
% 1.41/0.51 % (557035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557048)Instruction limit reached!
% 1.41/0.51 % (557048)------------------------------
% 1.41/0.51 % (557048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557035)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557035)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.51 % (557035)Time elapsed: 0.044 s
% 1.41/0.51 % (557035)Peak memory usage: 14 MB
% 1.41/0.51 % (557035)Instructions burned: 92 (million)
% 1.41/0.51 % (557048)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557048)Termination reason: Instruction limit
% 1.41/0.51 % (557048)Termination phase: shuffling
% 1.41/0.51 % (557048)Time elapsed: 0.013 s
% 1.41/0.51 % (557048)Peak memory usage: 11 MB
% 1.41/0.51 % (557048)Instructions burned: 28 (million)
% 1.41/0.51 % (557035)------------------------------
% 1.41/0.51 % (557035)------------------------------
% 1.41/0.51 % (557053)Instruction limit reached!
% 1.41/0.51 % (557053)------------------------------
% 1.41/0.51 % (557053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557053)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557053)Termination reason: Instruction limit
% 1.41/0.51 % (557053)Termination phase: shuffling
% 1.41/0.51 % (557053)Time elapsed: 0.007 s
% 1.41/0.51 % (557053)Peak memory usage: 10 MB
% 1.41/0.51 % (557053)Instructions burned: 15 (million)
% 1.41/0.51 % (557059)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=143896492:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.41/0.51 % (557060)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=43859644:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.41/0.51 % (557059)Instruction limit reached!
% 1.41/0.51 % (557059)------------------------------
% 1.41/0.51 % (557059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557059)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557059)Termination reason: Instruction limit
% 1.41/0.51 % (557059)Termination phase: shuffling
% 1.41/0.51 % (557059)Time elapsed: 0.008 s
% 1.41/0.51 % (557059)Peak memory usage: 10 MB
% 1.41/0.51 % (557059)Instructions burned: 34 (million)
% 1.41/0.51 % (557051)Instruction limit reached!
% 1.41/0.51 % (557051)------------------------------
% 1.41/0.51 % (557051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557051)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557051)Termination reason: Instruction limit
% 1.41/0.51 % (557051)Termination phase: Preprocessing 3
% 1.41/0.51 % (557051)Time elapsed: 0.029 s
% 1.41/0.51 % (557051)Peak memory usage: 11 MB
% 1.41/0.51 % (557051)Instructions burned: 62 (million)
% 1.41/0.51 % (557061)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4216014960:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.51 % (557060)Instruction limit reached!
% 1.41/0.51 % (557060)------------------------------
% 1.41/0.51 % (557060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557060)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557060)Termination reason: Instruction limit
% 1.41/0.51 % (557060)Termination phase: shuffling
% 1.41/0.51 % (557060)Time elapsed: 0.004 s
% 1.41/0.51 % (557060)Peak memory usage: 10 MB
% 1.41/0.51 % (557060)Instructions burned: 7 (million)
% 1.41/0.51 % (557062)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1538333806:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.41/0.51 % (557065)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2516699433:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.41/0.51 % (557061)Instruction limit reached!
% 1.41/0.51 % (557061)------------------------------
% 1.41/0.51 % (557061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557061)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557061)Termination reason: Instruction limit
% 1.41/0.51 % (557061)Termination phase: shuffling
% 1.41/0.51 % (557061)Time elapsed: 0.011 s
% 1.41/0.51 % (557061)Peak memory usage: 10 MB
% 1.41/0.51 % (557061)Instructions burned: 24 (million)
% 1.41/0.51 % (557062)Instruction limit reached!
% 1.41/0.51 % (557062)------------------------------
% 1.41/0.51 % (557062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557062)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557062)Termination reason: Instruction limit
% 1.41/0.51 % (557062)Termination phase: shuffling
% 1.41/0.51 % (557062)Time elapsed: 0.010 s
% 1.41/0.51 % (557062)Peak memory usage: 10 MB
% 1.41/0.51 % (557062)Instructions burned: 22 (million)
% 1.41/0.51 % (557066)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2558272199:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.41/0.51 % (557069)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4126915909:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.41/0.51 % (557072)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.41/0.51 % (557071)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3713342018:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.41/0.51 % (557072)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2284487980:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.41/0.51 % (557072)Instruction limit reached!
% 1.41/0.51 % (557072)------------------------------
% 1.41/0.51 % (557072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557072)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557072)Termination reason: Instruction limit
% 1.41/0.51 % (557072)Termination phase: shuffling
% 1.41/0.51 % (557072)Time elapsed: 0.005 s
% 1.41/0.51 % (557072)Peak memory usage: 10 MB
% 1.41/0.51 % (557072)Instructions burned: 9 (million)
% 1.41/0.51 % (557008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-557000-557008"...
% 1.41/0.51 % (557071)Instruction limit reached!
% 1.41/0.51 % (557071)------------------------------
% 1.41/0.51 % (557071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557071)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557071)Termination reason: Instruction limit
% 1.41/0.51 % (557071)Termination phase: Property scanning
% 1.41/0.51 % (557071)Time elapsed: 0.019 s
% 1.41/0.51 % (557071)Peak memory usage: 11 MB
% 1.41/0.51 % (557071)Instructions burned: 43 (million)
% 1.41/0.51 % (557008)...printing done.
% 1.41/0.51 % (557008)Refutation found. Thanks to Tanya!
% 1.41/0.51 % SZS status Theorem for theBenchmark
% 1.41/0.51 % SZS output start Proof for theBenchmark
% 1.41/0.51 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 1.41/0.51 thf(type_def_6, type, multiset: $tType > $tType).
% 1.41/0.51 thf(type_def_7, type, list: $tType > $tType).
% 1.41/0.51 thf(type_def_8, type, tree: $tType > $tType).
% 1.41/0.51 thf(type_def_9, type, set: $tType > $tType).
% 1.41/0.51 thf(type_def_10, type, a: $tType).
% 1.41/0.51 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.41/0.51 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_1, type, preorder: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_3, type, neg_numeral: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_5, type, monoid_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_7, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_8, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_9, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_10, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_11, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_12, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_13, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_14, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_15, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_16, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_17, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_18, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_19, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_20, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 1.41/0.51 thf(func_def_21, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 1.41/0.51 thf(func_def_22, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.41/0.51 thf(func_def_23, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_24, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 1.41/0.51 thf(func_def_25, type, heapIm818251801eapify: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_26, type, heapIm721255937_empty: !>[X0: $tType]:((tree @ X0 > $o))).
% 1.41/0.51 thf(func_def_27, type, heapIm874063447f_list: !>[X0: $tType]:((list @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_28, type, heapIm1542349758ve_max: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 1.41/0.51 thf(func_def_29, type, heapIm1271749598e_left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_30, type, heapIm1912108042t_tree: !>[X0: $tType]:((list @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_31, type, heapIm970386777veLeaf: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 1.41/0.51 thf(func_def_32, type, heapIm1434396069_right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_33, type, heapIm748920189ftDown: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_34, type, heap: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 1.41/0.51 thf(func_def_35, type, heap_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 1.41/0.51 thf(func_def_36, type, e: !>[X0: $tType]:(tree @ X0)).
% 1.41/0.51 thf(func_def_37, type, t: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_38, type, in_tree: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 1.41/0.51 thf(func_def_39, type, is_heap: !>[X0: $tType]:((tree @ X0 > $o))).
% 1.41/0.51 thf(func_def_40, type, multiset2: !>[X0: $tType]:((tree @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_41, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_42, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.41/0.51 thf(func_def_43, type, lattic929149872er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 1.41/0.51 thf(func_def_44, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_45, type, comm_monoid_sum_mset: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > multiset @ X0 > X0))).
% 1.41/0.51 thf(func_def_46, type, is_empty: !>[X0: $tType]:((multiset @ X0 > $o))).
% 1.41/0.51 thf(func_def_47, type, mult: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 1.41/0.51 thf(func_def_48, type, mult1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0))).
% 1.41/0.51 thf(func_def_49, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 1.41/0.51 thf(func_def_50, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.41/0.51 thf(func_def_51, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.41/0.51 thf(func_def_52, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.41/0.51 thf(func_def_53, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.41/0.51 thf(func_def_54, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.41/0.51 thf(func_def_55, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.41/0.51 thf(func_def_56, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 1.41/0.51 thf(func_def_57, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 1.41/0.51 thf(func_def_58, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 1.41/0.51 thf(func_def_59, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 1.41/0.51 thf(func_def_60, type, collection: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o))).
% 1.41/0.51 thf(func_def_61, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.41/0.51 thf(func_def_62, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.41/0.51 thf(func_def_63, type, l1: tree @ a).
% 1.41/0.51 thf(func_def_64, type, l2: tree @ a).
% 1.41/0.51 thf(func_def_65, type, r1: tree @ a).
% 1.41/0.51 thf(func_def_66, type, r2: tree @ a).
% 1.41/0.51 thf(func_def_67, type, t2: tree @ a).
% 1.41/0.51 thf(func_def_68, type, t3: tree @ a).
% 1.41/0.51 thf(func_def_69, type, t_a: tree @ a).
% 1.41/0.51 thf(func_def_70, type, v1: a).
% 1.41/0.51 thf(func_def_71, type, v2: a).
% 1.41/0.51 thf(func_def_72, type, v: a).
% 1.41/0.51 thf(func_def_73, type, v_a: a).
% 1.41/0.51 thf(func_def_74, type, v3: a).
% 1.41/0.51 thf(func_def_78, type, db0: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_79, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.41/0.51 thf(func_def_80, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.41/0.51 thf(func_def_81, type, vAND: ($o > $o > $o)).
% 1.41/0.51 thf(func_def_82, type, db1: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_83, type, db2: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_84, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.41/0.51 thf(func_def_85, type, db4: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_86, type, db5: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_87, type, db3: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_88, type, vIMP: ($o > $o > $o)).
% 1.41/0.51 thf(func_def_89, type, vNOT: ($o > $o)).
% 1.41/0.51 thf(func_def_90, type, db7: !>[X0: $tType]:(X0)).
% 1.41/0.51 thf(func_def_91, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.41/0.51 thf(func_def_92, type, sP0: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 1.41/0.51 thf(func_def_93, type, sP1: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 1.41/0.51 thf(func_def_94, type, sP2: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > $o))).
% 1.41/0.51 thf(func_def_95, type, sP3: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > $o))).
% 1.41/0.51 thf(func_def_96, type, sK4: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_97, type, sK5: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 1.41/0.51 thf(func_def_98, type, sK6: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_99, type, sK7: !>[X0: $tType]:((multiset @ X0 > X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_100, type, sK8: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_101, type, sK9: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > multiset @ X0))).
% 1.41/0.51 thf(func_def_102, type, sK10: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > multiset @ X1))).
% 1.41/0.51 thf(func_def_103, type, sK11: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > multiset @ X0))).
% 1.41/0.51 thf(func_def_104, type, sK12: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > X1))).
% 1.41/0.51 thf(func_def_105, type, sK13: !>[X0: $tType, X1: $tType]:(((multiset @ X1 > multiset @ X0 > $o) > multiset @ X1))).
% 1.41/0.51 thf(func_def_106, type, sK14: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1 > X0))).
% 1.41/0.51 thf(func_def_107, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ X0 > X2))).
% 1.41/0.51 thf(func_def_108, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ X0 > X4))).
% 1.41/0.51 thf(func_def_109, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ X0 > X0))).
% 1.41/0.51 thf(func_def_110, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ X0 > X3))).
% 1.41/0.51 thf(func_def_111, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X4 @ X0 > X1))).
% 1.41/0.51 thf(func_def_112, type, sK20: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.41/0.51 thf(func_def_113, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 1.41/0.51 thf(func_def_114, type, sK22: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_115, type, sK23: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 1.41/0.51 thf(func_def_116, type, sK24: !>[X0: $tType]:((multiset @ X0 > X0 > set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_117, type, sK25: !>[X0: $tType]:((multiset @ X0 > X0 > set @ product_prod @ X0 @ X0 > multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_118, type, sK26: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 1.41/0.51 thf(func_def_119, type, sK27: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 1.41/0.51 thf(func_def_120, type, sK28: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.41/0.51 thf(func_def_121, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.41/0.51 thf(func_def_122, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0 > X1))).
% 1.41/0.51 thf(func_def_123, type, sK31: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_124, type, sK32: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 1.41/0.51 thf(func_def_125, type, sK33: !>[X0: $tType]:((multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0 > X0))).
% 1.41/0.51 thf(func_def_126, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.41/0.51 thf(func_def_127, type, sK35: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_128, type, sK36: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_129, type, sK37: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_130, type, sK38: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_131, type, sK39: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_132, type, sK40: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_133, type, sK41: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_134, type, sK42: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_135, type, sK43: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_136, type, sK44: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_137, type, sK45: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_138, type, sK46: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_139, type, sK47: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_140, type, sK48: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_141, type, sK49: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_142, type, sK50: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_143, type, sK51: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_144, type, sK52: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_145, type, sK53: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_146, type, sK54: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_147, type, sK55: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_148, type, sK56: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_149, type, sK57: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_150, type, sK58: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_151, type, sK59: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_152, type, sK60: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.41/0.51 thf(func_def_153, type, sK61: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_154, type, sK62: !>[X0: $tType]:((multiset @ X0 > X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_155, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 1.41/0.51 thf(func_def_156, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 1.41/0.51 thf(func_def_157, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 1.41/0.51 thf(func_def_158, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X1))).
% 1.41/0.51 thf(func_def_159, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_160, type, sK68: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_161, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 1.41/0.51 thf(func_def_162, type, sK70: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X0))).
% 1.41/0.51 thf(func_def_163, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > product_prod @ X0 @ X1) > (X1 > tree @ X0) > X1))).
% 1.41/0.51 thf(func_def_164, type, sK72: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > X0))).
% 1.41/0.51 thf(func_def_165, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > X0))).
% 1.41/0.51 thf(func_def_166, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > X1))).
% 1.41/0.51 thf(func_def_167, type, sK75: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > tree @ X1) > X0))).
% 1.41/0.51 thf(func_def_168, type, sK76: !>[X0: $tType, X1: $tType]:(((list @ X1 > X0) > (X0 > tree @ X1) > list @ X1))).
% 1.41/0.51 thf(func_def_169, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > tree @ X1) > X0))).
% 1.41/0.51 thf(func_def_170, type, sK78: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.41/0.51 thf(func_def_171, type, sK79: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_172, type, sK80: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_173, type, sK81: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_174, type, sK82: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_175, type, sK83: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_176, type, sK84: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_177, type, sK85: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_178, type, sK86: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_179, type, sK87: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_180, type, sK88: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_181, type, sK89: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_182, type, sK90: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_183, type, sK91: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_184, type, sK92: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_185, type, sK93: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_186, type, sK94: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_187, type, sK95: !>[X0: $tType]:(((multiset @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_188, type, sK96: !>[X0: $tType]:(((multiset @ X0 > $o) > multiset @ X0))).
% 1.41/0.51 thf(func_def_189, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X2))).
% 1.41/0.51 thf(func_def_190, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X6))).
% 1.41/0.51 thf(func_def_191, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X4))).
% 1.41/0.51 thf(func_def_192, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X1))).
% 1.41/0.51 thf(func_def_193, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X3))).
% 1.41/0.51 thf(func_def_194, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X5))).
% 1.41/0.51 thf(func_def_195, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X0))).
% 1.41/0.51 thf(func_def_196, type, sK104: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_197, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X1 > $o) > X0))).
% 1.41/0.51 thf(func_def_198, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X1 > $o) > X2))).
% 1.41/0.51 thf(func_def_199, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X1 > $o) > X4))).
% 1.41/0.51 thf(func_def_200, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X1 > $o) > X1))).
% 1.41/0.51 thf(func_def_201, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X1 > $o) > X3))).
% 1.41/0.51 thf(func_def_202, type, sK110: !>[X0: $tType]:((multiset @ X0 > X0))).
% 1.41/0.51 thf(func_def_203, type, sK111: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_204, type, sK112: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.41/0.51 thf(func_def_205, type, sK113: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_206, type, sK114: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_207, type, sK115: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_208, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 1.41/0.51 thf(func_def_209, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 1.41/0.51 thf(func_def_210, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 1.41/0.51 thf(func_def_211, type, sK119: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.41/0.51 thf(func_def_212, type, sK120: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.41/0.51 thf(func_def_213, type, sK121: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_214, type, sK122: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_215, type, sK123: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_216, type, sK124: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_217, type, sK125: !>[X0: $tType]:((X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_218, type, sK126: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_219, type, sK127: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_220, type, sK128: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_221, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X0))).
% 1.41/0.51 thf(func_def_222, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X3))).
% 1.41/0.51 thf(func_def_223, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X2))).
% 1.41/0.51 thf(func_def_224, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X1))).
% 1.41/0.51 thf(func_def_225, type, sK133: !>[X0: $tType]:((multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_226, type, sK134: !>[X0: $tType]:((multiset @ X0 > X0))).
% 1.41/0.51 thf(func_def_227, type, sK135: !>[X0: $tType]:((multiset @ multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_228, type, sK136: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_229, type, sK137: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_230, type, sK138: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_231, type, sK139: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_232, type, sK140: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_233, type, sK141: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_234, type, sK142: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_235, type, sK143: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_236, type, sK144: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_237, type, sK145: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_238, type, sK146: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_239, type, sK147: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_240, type, sK148: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_241, type, sK149: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_242, type, sK150: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_243, type, sK151: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_244, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 1.41/0.51 thf(func_def_245, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 1.41/0.51 thf(func_def_246, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > X3))).
% 1.41/0.51 thf(func_def_247, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 1.41/0.51 thf(func_def_248, type, sK156: !>[X0: $tType]:((multiset @ X0 > X0))).
% 1.41/0.51 thf(func_def_249, type, sK157: !>[X0: $tType]:((multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_250, type, sK158: !>[X0: $tType]:((X0 > multiset @ X0 > X0 > multiset @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_251, type, sK159: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_252, type, sK160: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_253, type, sK161: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_254, type, sK162: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_255, type, sK163: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_256, type, sK164: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_257, type, sK165: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_258, type, sK166: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_259, type, sK167: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_260, type, sK168: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_261, type, sK169: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_262, type, sK170: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_263, type, sK171: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_264, type, sK172: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_265, type, sK173: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_266, type, sK174: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_267, type, sK175: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_268, type, sK176: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_269, type, sK177: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_270, type, sK178: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_271, type, sK179: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_272, type, sK180: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.41/0.51 thf(func_def_273, type, sK181: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.41/0.51 thf(func_def_274, type, sK182: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_275, type, sK183: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.41/0.51 thf(func_def_276, type, sK184: !>[X0: $tType]:((multiset @ X0 > multiset @ X0 > set @ product_prod @ X0 @ X0 > multiset @ X0))).
% 1.41/0.51 thf(func_def_277, type, sK185: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.41/0.51 thf(func_def_278, type, sK186: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.41/0.51 thf(func_def_279, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X3))).
% 1.41/0.51 thf(func_def_280, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X5))).
% 1.41/0.51 thf(func_def_281, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X4))).
% 1.41/0.51 thf(func_def_282, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X1))).
% 1.41/0.51 thf(func_def_283, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X0))).
% 1.41/0.51 thf(func_def_284, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ X1 > X2))).
% 1.41/0.51 thf(func_def_285, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X2))).
% 1.41/0.51 thf(func_def_286, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X1))).
% 1.41/0.51 thf(func_def_287, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X4))).
% 1.41/0.51 thf(func_def_288, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X0))).
% 1.41/0.51 thf(func_def_289, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X6))).
% 1.41/0.51 thf(func_def_290, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X3))).
% 1.41/0.51 thf(func_def_291, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X1 > X5))).
% 1.41/0.51 thf(func_def_292, type, sK200: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 1.41/0.51 thf(func_def_293, type, sK201: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 1.41/0.51 thf(func_def_294, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X3))).
% 1.41/0.51 thf(func_def_295, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X5))).
% 1.41/0.51 thf(func_def_296, type, sK204: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X0))).
% 1.41/0.51 thf(func_def_297, type, sK205: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X1))).
% 1.41/0.51 thf(func_def_298, type, sK206: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X4))).
% 1.41/0.51 thf(func_def_299, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ X3 > $o) > X2))).
% 1.41/0.51 thf(f1,axiom,(
% 1.41/0.51 (((product_Pair @ a @ tree @ a @ v_a @ t_a)) = ((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C4__2_Oprems_C_I1_J)).
% 1.41/0.51 thf(f4,axiom,(
% 1.41/0.51 (t_a = ((t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2))))),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062)).
% 1.41/0.51 thf(f7,axiom,(
% 1.41/0.51 ! [X0 : $tType] : (linorder @ X0 => ! [X4 : tree @ X0,X1 : X0,X7 : tree @ X0,X2 : X0,X3 : tree @ X0,X5 : X0,X6 : tree @ X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ (t @ X0 @ X2 @ X3 @ X4) @ (t @ X0 @ X5 @ X6 @ X7)))) = ((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ X3 @ X4))) @ (t @ X0 @ X1 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ X3 @ X4))) @ (t @ X0 @ X5 @ X6 @ X7))))))),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_removeLeaf_Osimps_I4_J)).
% 1.41/0.51 thf(f14,axiom,(
% 1.41/0.51 ! [X0 : $tType,X1 : $tType,X3 : X0,X2 : X1] : (((product_fst @ X1 @ X0 @ (product_Pair @ X1 @ X0 @ X2 @ X3))) = X2)),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_fst__conv)).
% 1.41/0.51 thf(f274,axiom,(
% 1.41/0.51 linorder @ a),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 1.41/0.51 thf(f275,conjecture,(
% 1.41/0.51 (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))))),
% 1.41/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.41/0.51 thf(f276,negated_conjecture,(
% 1.41/0.51 ~ (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))))),
% 1.41/0.51 inference(negated_conjecture,[status(cth)],[f275])).
% 1.41/0.51 thf(f336,plain,(
% 1.41/0.51 linorder @ a),
% 1.41/0.51 inference(rectify,[],[f274])).
% 1.41/0.51 thf(f337,plain,(
% 1.41/0.51 (linorder @ a = $true)),
% 1.41/0.51 inference(fool_elimination,[],[f336])).
% 1.41/0.51 thf(f367,plain,(
% 1.41/0.51 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : tree @ X0,X2 : X0,X3 : tree @ X0,X4 : X0,X5 : tree @ X0,X6 : X0,X7 : tree @ X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ (t @ X0 @ X4 @ X5 @ X1) @ (t @ X0 @ X6 @ X7 @ X3)))) = ((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X2 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X6 @ X7 @ X3))))))),
% 1.41/0.51 inference(rectify,[],[f7])).
% 1.41/0.51 thf(f368,plain,(
% 1.41/0.51 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X3 : tree @ X0,X1 : tree @ X0,X4 : X0,X5 : tree @ X0,X7 : tree @ X0,X2 : X0,X6 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ (t @ X0 @ X4 @ X5 @ X1) @ (t @ X0 @ X6 @ X7 @ X3)))) = ((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X2 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X6 @ X7 @ X3))))))),
% 1.41/0.51 inference(fool_elimination,[],[f367])).
% 1.41/0.51 thf(f711,plain,(
% 1.41/0.51 ! [X0 : $tType,X1 : $tType,X3 : X1,X2 : X0] : (((product_fst @ X1 @ X0 @ (product_Pair @ X1 @ X0 @ X3 @ X2))) = X3)),
% 1.41/0.51 inference(rectify,[],[f14])).
% 1.41/0.51 thf(f747,plain,(
% 1.41/0.51 (v_a != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))))),
% 1.41/0.51 inference(flattening,[],[f276])).
% 1.41/0.51 thf(f963,plain,(
% 1.41/0.51 ! [X0 : $tType] : (! [X3 : tree @ X0,X1 : tree @ X0,X4 : X0,X5 : tree @ X0,X7 : tree @ X0,X2 : X0,X6 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ (t @ X0 @ X4 @ X5 @ X1) @ (t @ X0 @ X6 @ X7 @ X3)))) = ((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X2 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X4 @ X5 @ X1))) @ (t @ X0 @ X6 @ X7 @ X3))))) | (linorder @ X0 != $true))),
% 1.41/0.51 inference(ennf_transformation,[],[f368])).
% 1.41/0.51 thf(f1007,plain,(
% 1.41/0.51 ! [X0 : $tType] : (! [X1 : tree @ X0,X2 : tree @ X0,X3 : X0,X4 : tree @ X0,X5 : tree @ X0,X6 : X0,X7 : X0] : (((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X3 @ X4 @ X2))) @ (t @ X0 @ X6 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X3 @ X4 @ X2))) @ (t @ X0 @ X7 @ X5 @ X1)))) = ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X6 @ (t @ X0 @ X3 @ X4 @ X2) @ (t @ X0 @ X7 @ X5 @ X1))))) | (linorder @ X0 != $true))),
% 1.41/0.51 inference(rectify,[],[f963])).
% 1.41/0.51 thf(f1111,plain,(
% 1.41/0.51 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : X0] : (((product_fst @ X1 @ X0 @ (product_Pair @ X1 @ X0 @ X2 @ X3))) = X2)),
% 1.41/0.51 inference(rectify,[],[f711])).
% 1.41/0.51 thf(f1306,plain,(
% 1.41/0.51 ( ! [X0 : $tType,X2 : tree @ X0,X3 : X0,X1 : tree @ X0,X6 : X0,X7 : X0,X4 : tree @ X0,X5 : tree @ X0] : ((((product_Pair @ X0 @ tree @ X0 @ (product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X3 @ X4 @ X2))) @ (t @ X0 @ X6 @ (product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X3 @ X4 @ X2))) @ (t @ X0 @ X7 @ X5 @ X1)))) = ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X6 @ (t @ X0 @ X3 @ X4 @ X2) @ (t @ X0 @ X7 @ X5 @ X1))))) | (linorder @ X0 != $true)) )),
% 1.41/0.51 inference(cnf_transformation,[],[f1007])).
% 1.41/0.51 thf(f1438,plain,(
% 1.41/0.51 (((product_Pair @ a @ tree @ a @ v_a @ t_a)) = ((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))),
% 1.41/0.51 inference(cnf_transformation,[],[f1])).
% 1.41/0.51 thf(f1461,plain,(
% 1.41/0.51 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : ((((product_fst @ X1 @ X0 @ (product_Pair @ X1 @ X0 @ X2 @ X3))) = X2)) )),
% 1.41/0.51 inference(cnf_transformation,[],[f1111])).
% 1.41/0.51 thf(f1466,plain,(
% 1.41/0.51 (v_a != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))))),
% 1.41/0.51 inference(cnf_transformation,[],[f747])).
% 1.41/0.51 thf(f1579,plain,(
% 1.41/0.51 (linorder @ a = $true)),
% 1.41/0.51 inference(cnf_transformation,[],[f337])).
% 1.41/0.51 thf(f1636,plain,(
% 1.41/0.51 (t_a = ((t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2))))),
% 1.41/0.51 inference(cnf_transformation,[],[f4])).
% 1.41/0.51 thf(f1847,definition,(
% 1.41/0.51 spl208_3 <=> (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_3])],[avatar_definition])).
% 1.41/0.51 thf(f1849,plain,(
% 1.41/0.51 (v_a != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))))) | spl208_3),
% 1.41/0.51 inference(avatar_component_clause,[],[f1847])).
% 1.41/0.51 thf(f1850,plain,(
% 1.41/0.51 ~spl208_3),
% 1.41/0.51 inference(avatar_split_clause,[],[f1466,f1847])).
% 1.41/0.51 thf(f1870,definition,(
% 1.41/0.51 spl208_8 <=> (linorder @ a = $true)),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_8])],[avatar_definition])).
% 1.41/0.51 thf(f1872,plain,(
% 1.41/0.51 (linorder @ a = $true) | ~spl208_8),
% 1.41/0.51 inference(avatar_component_clause,[],[f1870])).
% 1.41/0.51 thf(f1873,plain,(
% 1.41/0.51 spl208_8),
% 1.41/0.51 inference(avatar_split_clause,[],[f1579,f1870])).
% 1.41/0.51 thf(f1875,definition,(
% 1.41/0.51 spl208_9 <=> (((product_Pair @ a @ tree @ a @ v_a @ t_a)) = ((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_9])],[avatar_definition])).
% 1.41/0.51 thf(f1877,plain,(
% 1.41/0.51 (((product_Pair @ a @ tree @ a @ v_a @ t_a)) = ((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2))))) | ~spl208_9),
% 1.41/0.51 inference(avatar_component_clause,[],[f1875])).
% 1.41/0.51 thf(f1878,plain,(
% 1.41/0.51 spl208_9),
% 1.41/0.51 inference(avatar_split_clause,[],[f1438,f1875])).
% 1.41/0.51 thf(f1880,definition,(
% 1.41/0.51 spl208_10 <=> (t_a = ((t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_10])],[avatar_definition])).
% 1.41/0.51 thf(f1882,plain,(
% 1.41/0.51 (t_a = ((t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2)))) | ~spl208_10),
% 1.41/0.51 inference(avatar_component_clause,[],[f1880])).
% 1.41/0.51 thf(f1883,plain,(
% 1.41/0.51 spl208_10),
% 1.41/0.51 inference(avatar_split_clause,[],[f1636,f1880])).
% 1.41/0.51 thf(f1961,plain,(
% 1.41/0.51 (((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))) = ((product_Pair @ a @ tree @ a @ v_a @ (t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2))))) | (~spl208_9 | ~spl208_10)),
% 1.41/0.51 inference(forward_demodulation,[],[f1877,f1882])).
% 1.41/0.51 thf(f1963,definition,(
% 1.41/0.51 spl208_14 <=> (((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))) = ((product_Pair @ a @ tree @ a @ v_a @ (t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2)))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_14])],[avatar_definition])).
% 1.41/0.51 thf(f1965,plain,(
% 1.41/0.51 (((heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))) = ((product_Pair @ a @ tree @ a @ v_a @ (t @ a @ v3 @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))) @ (t @ a @ v2 @ l2 @ r2))))) | ~spl208_14),
% 1.41/0.51 inference(avatar_component_clause,[],[f1963])).
% 1.41/0.51 thf(f1966,plain,(
% 1.41/0.51 spl208_14 | ~spl208_9 | ~spl208_10),
% 1.41/0.51 inference(avatar_split_clause,[],[f1961,f1880,f1875,f1963])).
% 1.41/0.51 thf(f1980,plain,(
% 1.41/0.51 (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))) | ~spl208_14),
% 1.41/0.51 inference(superposition,[],[f1461,f1965])).
% 1.41/0.51 thf(f1982,definition,(
% 1.41/0.51 spl208_15 <=> (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2))))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_15])],[avatar_definition])).
% 1.41/0.51 thf(f1984,plain,(
% 1.41/0.51 (v_a = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))) | ~spl208_15),
% 1.41/0.51 inference(avatar_component_clause,[],[f1982])).
% 1.41/0.51 thf(f1985,plain,(
% 1.41/0.51 spl208_15 | ~spl208_14),
% 1.41/0.51 inference(avatar_split_clause,[],[f1980,f1963,f1982])).
% 1.41/0.51 thf(f1990,plain,(
% 1.41/0.51 ( ! [X0 : $tType,X2 : X0,X3 : tree @ X0,X1 : X0,X6 : tree @ X0,X7 : tree @ X0,X4 : tree @ X0,X5 : X0] : ((((product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X2 @ X3 @ X4)))) = ((product_fst @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ (t @ X0 @ X2 @ X3 @ X4) @ (t @ X0 @ X5 @ X6 @ X7)))))) | (linorder @ X0 != $true)) )),
% 1.41/0.51 inference(superposition,[],[f1461,f1306])).
% 1.41/0.51 thf(f2813,plain,(
% 1.41/0.51 (((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))) != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))) | (spl208_3 | ~spl208_15)),
% 1.41/0.51 inference(superposition,[],[f1849,f1984])).
% 1.41/0.51 thf(f2820,definition,(
% 1.41/0.51 spl208_116 <=> (((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))) = ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2))))))),
% 1.41/0.51 introduced(definition,[new_symbols(definition,[spl208_116])],[avatar_definition])).
% 1.41/0.51 thf(f2822,plain,(
% 1.41/0.51 (((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))) != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v3 @ (t @ a @ v1 @ l1 @ r1) @ (t @ a @ v2 @ l2 @ r2)))))) | spl208_116),
% 1.41/0.51 inference(avatar_component_clause,[],[f2820])).
% 1.41/0.51 thf(f2823,plain,(
% 1.41/0.51 ~spl208_116 | spl208_3 | ~spl208_15),
% 1.41/0.51 inference(avatar_split_clause,[],[f2813,f1982,f1847,f2820])).
% 1.41/0.51 thf(f3024,plain,(
% 1.41/0.51 (((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1)))) != ((product_fst @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v1 @ l1 @ r1))))) | (linorder @ a != $true) | spl208_116),
% 1.41/0.51 inference(superposition,[],[f2822,f1990])).
% 1.41/0.51 thf(f3034,plain,(
% 1.41/0.51 (linorder @ a != $true) | spl208_116),
% 1.41/0.51 inference(trivial_inequality_removal,[],[f3024])).
% 1.41/0.51 thf(f3043,plain,(
% 1.41/0.51 $false | (~spl208_8 | spl208_116)),
% 1.41/0.51 inference(forward_subsumption_resolution,[],[f3034,f1872])).
% 1.41/0.51 thf(f3044,plain,(
% 1.41/0.51 ~spl208_8 | spl208_116),
% 1.41/0.51 inference(avatar_contradiction_clause,[],[f3043])).
% 1.41/0.51 cnf(s3, plain, ~spl208_3, inference(sat_conversion,[],[f1850])).
% 1.41/0.51 cnf(s7, plain, spl208_8, inference(sat_conversion,[],[f1873])).
% 1.41/0.51 cnf(s8, plain, spl208_9, inference(sat_conversion,[],[f1878])).
% 1.41/0.51 cnf(s9, plain, spl208_10, inference(sat_conversion,[],[f1883])).
% 1.41/0.51 cnf(s14, plain, ~spl208_9 | ~spl208_10 | spl208_14, inference(sat_conversion,[],[f1966])).
% 1.41/0.51 cnf(s15, plain, ~spl208_14 | spl208_15, inference(sat_conversion,[],[f1985])).
% 1.41/0.51 cnf(s37, plain, spl208_3 | ~spl208_15 | ~spl208_116, inference(sat_conversion,[],[f2823])).
% 1.41/0.51 cnf(s43, plain, ~spl208_8 | spl208_116, inference(sat_conversion,[],[f3044])).
% 1.41/0.51 cnf(s47, plain, spl208_14, inference(rat,[],[s14,s9,s8])).
% 1.41/0.51 cnf(s51, plain, spl208_15, inference(rat,[],[s15,s47])).
% 1.41/0.51 cnf(s54, plain, spl208_116, inference(rat,[],[s43,s7])).
% 1.41/0.51 cnf(s55, plain, spl208_3, inference(rat,[],[s37,s51,s54])).
% 1.41/0.51 cnf(s57, plain, $false, inference(rat,[],[s3,s55])).
% 1.41/0.51 thf(f3045,plain,(
% 1.41/0.51 $false),
% 1.41/0.51 inference(avatar_sat_refutation,[],[s57])).
% 1.41/0.51 % SZS output end Proof for theBenchmark
% 1.41/0.51 % (557008)------------------------------
% 1.41/0.51 % (557008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (557008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (557008)CaDiCaL version: 2.1.3
% 1.41/0.51 % (557008)Termination reason: Refutation
% 1.41/0.51 % (557008)Time elapsed: 0.194 s
% 1.41/0.51 % (557008)Peak memory usage: 16 MB
% 1.41/0.51 % (557008)Instructions burned: 373 (million)
% 1.41/0.51 % (557000)Success in time 0.252 s
% 1.41/0.51 % Vampire exiting
%------------------------------------------------------------------------------